The length, breadth, height of a room are 6 m, 12 m and 3 m respectively. Find the longest tape which can measure(in m) the dimensions of the room exactly.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 3
To find the longest tape which can measure the dimensions of the room exactly we need to find the highest common factor of 3, 6 and 12.
Factors of 3 = 1, 3
Factors of 6 = 1, 2, 3, 6
Factors of 12 = 1, 2, 3, 4, 6, 12
Common factors of 3, 6 and 12 = 1 and 3.
HCF of 3, 6 and 12 = 3

Therefore, the measure of the longest tape that can measure the dimensions of the room exactly is equal to 3 m.

Suggest Corrections

Similar questions

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Question 3

The length, breadth, and height of a room are 825 cm, 675 cm, and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Q. The length, breadth and height of a room are

12 m, 15 m

and

18 m

respectively. Determine the longest tape which can measure all the three dimensions of the room exactly.

Q. The length, breadth and height of a room are 1050 cm, 750 cm and 425 cm respectively. Find the length of the longest tape which can measure the three dimensions of the room exactly

Q. The length, breadth, and height of a room are 825 cm, 675 cm, and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Join BYJU'S Learning Program